x^2+6x≤-5 with an explanation pls
Mathematics · High School · Tue Nov 03 2020
Answered on
This is an example of an inequality that is often used to determine the domain of a function. This is applicable if given the formula √(x^2+6x+5), and you want to determine the domain of the function. In order to do so, we make the equation inside the square root as an inequality.
x^2 + 6x + 5 ≥ 0
Move 5 to the other side, and since it will become negative, we must change ≥ to ≤, as a general rule
x^2 + 6x ≤ -5
Therefore the domain of the function is given by the equation x^2 + 6x and it can be equal to or less than -5